# The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section

Dietmar Kröner; Philippe G. LeFloch; Mai-Duc Thanh

ESAIM: Mathematical Modelling and Numerical Analysis (2008)

- Volume: 42, Issue: 3, page 425-442
- ISSN: 0764-583X

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topKröner, Dietmar, LeFloch, Philippe G., and Thanh, Mai-Duc. "The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section." ESAIM: Mathematical Modelling and Numerical Analysis 42.3 (2008): 425-442. <http://eudml.org/doc/250325>.

@article{Kröner2008,

abstract = {
We consider the Euler equations for compressible fluids
in a nozzle whose cross-section is variable and may contain discontinuities.
We view these equations as a hyperbolic system in nonconservative form
and investigate weak solutions in the sense of Dal Maso, LeFloch and Murat [J. Math. Pures Appl.74 (1995) 483–548].
Observing that the entropy equality has a fully conservative form,
we derive a minimum entropy principle satisfied by entropy solutions.
We then establish the stability of a class of numerical approximations for this system.
},

author = {Kröner, Dietmar, LeFloch, Philippe G., Thanh, Mai-Duc},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Euler equations; conservation law;
shock wave; nozzle flow; source term; entropy solution.; shock wave},

language = {eng},

month = {4},

number = {3},

pages = {425-442},

publisher = {EDP Sciences},

title = {The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section},

url = {http://eudml.org/doc/250325},

volume = {42},

year = {2008},

}

TY - JOUR

AU - Kröner, Dietmar

AU - LeFloch, Philippe G.

AU - Thanh, Mai-Duc

TI - The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2008/4//

PB - EDP Sciences

VL - 42

IS - 3

SP - 425

EP - 442

AB -
We consider the Euler equations for compressible fluids
in a nozzle whose cross-section is variable and may contain discontinuities.
We view these equations as a hyperbolic system in nonconservative form
and investigate weak solutions in the sense of Dal Maso, LeFloch and Murat [J. Math. Pures Appl.74 (1995) 483–548].
Observing that the entropy equality has a fully conservative form,
we derive a minimum entropy principle satisfied by entropy solutions.
We then establish the stability of a class of numerical approximations for this system.

LA - eng

KW - Euler equations; conservation law;
shock wave; nozzle flow; source term; entropy solution.; shock wave

UR - http://eudml.org/doc/250325

ER -

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